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Ronch [10]
2 years ago
10

A mysterious flying superhero known as Blue Sky protects the good citizens of Allenville. Unknown to these citizens, Blue Sky is

actually mild-mannered Abdul, a scientist in a flying suit. Before Abdul can fly in the suit, he needs to charge its battery. There is a proportional relationship between the number of hours Abdul has charged his flying suit, x, and the number of hours he can fly, y.
If Abdul charged the suit for 1 hour, he can fly for 2 hours
Mathematics
1 answer:
RUDIKE [14]2 years ago
8 0

Here we want to find the proportional relationship between the number of hours that Abdul charges the suit and the number of hours that he can fly.

We will get the proportional relationship:

y = 2*x

where y is the number of hours that Abdul can fly and x is the number of hours that he charges the suit.

<h3>Proportional relationships:</h3>

A proportional relationship is a linear relationship of the form:

y = k*x

Where k is the constant of proportionality.

We can define:

  • x = number of hours that he charges the suit,
  • y = number of hours that he can fly.

Now we know that if Abdul charges the suit for 1 hour, he can fly for 2 hours, then we have the pair:

  • x = 1
  • y = 2

Replacing that in the proportional relationship we get:

2 = k*1

Now we can solve this for k:

2 = k*1

2/1 = k = 2

From this, we can conclude that the proportional relationship is:

y = 2*x

If you want to learn more about proportional relationships, you can read:

brainly.com/question/12242745

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dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
bagirrra123 [75]

Answer:

B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15

Step-by-step explanation:

Given expression = x + 15% of x

x + (15/100) x = x + 0.15x

= (1+ 0.15) x = 1.15x

15% = 0.15 , added to x = 1.15x

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3 years ago
A dependent means t-test determines if the differences between scores on the pretest and posttest measures differ significantly
lara31 [8.8K]

A dependent means t-test determines if the differences between scores on the pretest and post-test measures differ significantly from Zero(0).

Benefits of pre-test measurements

This design is superior to the post-test-only control design because it adds pre-tests. Addition of pre-test: Improve your design ability to detect effects. You can investigate the impact of interventions on various sublevels of pretesting.

The design of the pre-test and post-test is similar to the in-subject experiment. In this experiment, each participant is first tested in control conditions and then in therapeutic conditions.

Learn more about pretesting. here: brainly.com/question/968894

#SPJ4

6 0
2 years ago
What’s the least common denominator of 3/4 4/5 and 2/3
-BARSIC- [3]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The least common denominator of 3/4 4/5 and 2/3 is 60.

4 x 15 is 60, 5 x 12 is 60 and 3 x 20 is 60.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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Read 2 more answers
Given: BC bisects DBE. Prove: ABD is congruent to ABE
Arada [10]

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE =>   < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

7 0
3 years ago
PLEASE HELP ASAP! NO SCAMS ALLOWED!
Kitty [74]

Answer:

Step-by-step explanation:

I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:

V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx

where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:

V=\pi\int\limits^5_3 {3^2}-0^2 \, dx  and

V-\pi\int\limits^5_3 {9} \, dx  and integrating:

V=\pi(9x\left \} {{5} \atop 3}} \right. and using the First Fundamental Theorem of Calculus:

V = π(9(5) - 9(3)) and

V = π(45 - 27) so

V = 18π units cubed or in decimal format,

V = 56.549 units cubed

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2 years ago
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